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If m^(k + 1) = m^(k^2 + 1), what is m^k?

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Math Expert
Joined: 02 Sep 2009
Posts: 42628

Kudos [?]: 135818 [0], given: 12715

If m^(k + 1) = m^(k^2 + 1), what is m^k? [#permalink]

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10 Sep 2017, 20:44
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35% (medium)

Question Stats:

69% (01:27) correct 31% (01:31) wrong based on 35 sessions

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If $$m^{(k + 1)} = m^{(k^2 + 1)}$$, what is m^k?

(1) m = 2
(2) k ≠ 2
[Reveal] Spoiler: OA

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Kudos [?]: 135818 [0], given: 12715

Manager
Joined: 14 Sep 2016
Posts: 148

Kudos [?]: 5 [0], given: 36

Re: If m^(k + 1) = m^(k^2 + 1), what is m^k? [#permalink]

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10 Sep 2017, 22:52

Since if we reduce give condition further down we will get m^k=m^k^2

1) If m = 2 then k can either be 0 or 1 but using these two values we will get m^k as 2 or 1 hence, not sufficient
2) if k is not equal to 2, in this case value of m is unknown m can take any value plus k can any value apart from 2. Not sufficient

Both statement together doesn't provide much info.

Kudos [?]: 5 [0], given: 36

Re: If m^(k + 1) = m^(k^2 + 1), what is m^k?   [#permalink] 10 Sep 2017, 22:52
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